480368 has 20 divisors (see below), whose sum is σ = 1063920. Its totient is φ = 205824.

The previous prime is 480367. The next prime is 480373. The reversal of 480368 is 863084.

480368 = T₂₃₇ + T₂₃₈ + ... + T₂₅₂.

It is a self number, because there is not a number n which added to its sum of digits gives 480368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2033 + ... + 2256.

It is an arithmetic number, because the mean of its divisors is an integer number (53196).

2⁴⁸⁰³⁶⁸ is an apocalyptic number.

It is an amenable number.

480368 is an abundant number, since it is smaller than the sum of its proper divisors (583552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480368 is a wasteful number, since it uses less digits than its factorization.

480368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 480368 is about 693.0858532678. The cubic root of 480368 is about 78.3173570356.

It can be divided in two parts, 480 and 368, that added together give a palindrome (848).

The spelling of 480368 in words is "four hundred eighty thousand, three hundred sixty-eight".